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Category: Arithmetic

Question-81311

Question Number 81311 by M±th+et£s last updated on 11/Feb/20 Commented by mind is power last updated on 11/Feb/20 Γ(n+x)=(n1+x)(n2+x)xΓ(x)Γ(n+x)=Γ(x)nk=1(nk+x)$$\Rightarrow\Gamma\left({n}+\mathrm{1}−\frac{{k}}{{n}}\right)=\Gamma\left(\mathrm{1}−\frac{{k}}{{n}}\right)\underset{{j}=\mathrm{1}}…

Prove-by-mathematcal-induction-that-1-1-1-2-1-1-2-3-1-1-2-3-n-2n-n-1-

Question Number 15671 by tawa tawa last updated on 12/Jun/17 Provebymathematcalinductionthat1+11+2+11+2+3++11+2+3+n=2nn+1 Answered by icyfalcon999 last updated on 12/Jun/17 1)provingthatthestatementtruewhenn=1$$\mathrm{R}.\mathrm{H}.\mathrm{S}.=\frac{\mathrm{2}\left(\mathrm{1}\right)}{\mathrm{1}+\mathrm{1}}=\frac{\mathrm{2}}{\mathrm{2}}=\mathrm{1}=\mathrm{L}.\mathrm{H}.\mathrm{S}.…